thu-nmrc · Oct 24, 2026 · Oct 25, 2026 · Oct 25, 2026 · Oct 25, 2026
diff --git a/research/odd-e8-lowrank-e-native/AUTHOR-FILES.json b/research/odd-e8-lowrank-e-native/AUTHOR-FILES.json
@@ -0,0 +1,131 @@
+{
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+      "sha256": "9f99ba0108d8d51a47bafb65b6de964128c6ad57c7c469be2c11d154bb7e71f5"
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+      "sha256": "0b7aee69687ca6baa045b3721f37c54a54aab7cf4f0eec9c352d9bae48482486"
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+      "sha256": "1f92c67a858c76ccd8046d366e29e639be06c498b7453a4255a957823fc6bb83"
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+      "sha256": "fd30f46e210e4f46302fbeb4055a0e61aa5dce1268a864b53db58406be5a2ed9"
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+}
diff --git a/research/odd-e8-lowrank-e-native/AUTHOR-README.md b/research/odd-e8-lowrank-e-native/AUTHOR-README.md
@@ -0,0 +1,16 @@
+# Low-rank R-mode correction for the whole-K native module
+
+This local package constructs corrected forward and backward E-coded native modules with paid profile `{8:v,9:v,15:v,16:v,25:20480}`, where `v=112^3` and `E=K(I-F_3(C))^-1`. It replaces the proposed high-rank H-side-module correction by20480 full-R spectral queries. Original source acquisition, owned scratch, restoration, inverse source contacts and linear transposition are explicit.
+
+The three-fresh-stage word has one autonomous positive H73 half and one exact negative E-coded half. The negative half's Gaussian admission is **UNKNOWN**. This package does not improve kappa, establish a complete Gaussian caller or assert repository acceptance. Its positive moment is only a conditional screen granting that missing terminal.
+
+Run either self-contained cold command with Python3.12 and only the standard library:
+
+    python -I -B run.py
+    python -I -O -B run.py
+
+Both default commands regenerate and compare every mathematical receipt and literal program without writing. They use only same-folder files, require no Git/network, and do not modify previously sealed packages. `--write` is explicit authoring.
+
+`PROOF.md` is the all-width argument and exact scope. `MODES-PROGRAM.json` gives the rational112-owner basis, elementary ADD/SCALE/SWAP words and structured global loops; these are not an expansion of all global scalar operations. `ROOT-CHECKPOINT-PROGRAM.json.gz` is the actual512-port native inverse/snapshot and transpose program, with emitted literal unary realizations. `OWNED-E-PROGRAM.json` and `N3-PROGRAM.json` are complete small owned fulloperator words. The two-cube fixture binds two actual distinct E8 cube geometries and all phase-correct native transfer blocks.
+
+All mode calls are paid work, not extra independent productive helpers. Field/address operations, fixed rational arithmetic and COPY/CLEAR are counted or defined. The width-independent constants control amplification of additive field-l2 errors only; coordinatewise fixed-point rounding-to-l2 conversion and its dimension-dependent precision cost remain unproved. See PRECISION-SCOPE.md. Complete outer TM, storage and rounding admission remain open. `SOURCES.json` records exact inherited inputs, credits and a bounded nearest-primary overlap review. That review is not an exhaustive priority claim.
diff --git a/research/odd-e8-lowrank-e-native/AUTHOR-SOURCES.json b/research/odd-e8-lowrank-e-native/AUTHOR-SOURCES.json
@@ -0,0 +1,75 @@
+{
+  "bounded_primary_review": [
+    {
+      "bytes": 11341,
+      "commit": "32890bc5de034ab8fc93ac88ead7279a6a416d04",
+      "name": "4933-canonical-gauge",
+      "path": "research/coded-native-caller/GAUGE.md",
+      "role": "bounded nearest-primary overlap review; not runtime imported",
+      "sha256": "09c4e86d99245734761569efd13473623ffdd857e9eae092bd7f54bfd2f42f06"
+    },
+    {
+      "bytes": 10632,
+      "commit": "32890bc5de034ab8fc93ac88ead7279a6a416d04",
+      "name": "4933-canonical-physical",
+      "path": "research/coded-native-caller/PHYSICAL.md",
+      "role": "bounded nearest-primary overlap review; not runtime imported",
+      "sha256": "4321b159ff8d3fe705419adaaa1beef75606e869e34341bda553f17d598a6078"
+    },
+    {
+      "bytes": 11699,
+      "commit": "e6d50e7ebd0bb1fd4f388930df78df696e56b404",
+      "name": "5439-separated-lift",
+      "path": "research/odd-e8-direct-sum/NATIVE-LIFT.md",
+      "role": "bounded nearest-primary overlap review; not runtime imported",
+      "sha256": "aeda1201bee97081c7ab245353c4b7852eed8230a6e5f07fd4f475080d05aec2"
+    },
+    {
+      "bytes": 8540,
+      "commit": "6c768fb1df95fd5ee49a9d9ac74f1fa97b9cabe6",
+      "name": "5467-native-unit",
+      "path": "research/native-wordram-interfaces/native/REPORT.txt",
+      "role": "bounded nearest-primary overlap review; not runtime imported",
+      "sha256": "44e5613d1c2a80138ff468baa3b8abef3b8eeea28083c8d8ec8aa9e271bd9142"
+    },
+    {
+      "bytes": 5657,
+      "commit": "6c768fb1df95fd5ee49a9d9ac74f1fa97b9cabe6",
+      "name": "5467-three-query-decoder",
+      "path": "research/native-wordram-interfaces/decoder/TERMINAL-PROOF.txt",
+      "role": "bounded nearest-primary overlap review; not runtime imported",
+      "sha256": "5d5087a16d446195ac7e6c64887b6e4675287b31f314314d63d8939fb9159024"
+    },
+    {
+      "bytes": 11316,
+      "commit": "6c768fb1df95fd5ee49a9d9ac74f1fa97b9cabe6",
+      "name": "5467-precision",
+      "path": "research/native-wordram-interfaces/precision/RECODING-PROOF.txt",
+      "role": "bounded nearest-primary overlap review; not runtime imported",
+      "sha256": "9e30848feb079d28f4e54b08f1c9bdbb4b7c42785a28ef4c6aeec770c8d756c4"
+    }
+  ],
+  "canonical_main": "32890bc5de034ab8fc93ac88ead7279a6a416d04",
+  "coverage_limit": "Only these explicitly named primary files and PR5467 body/head file list were read for this review. No exhaustive history, all pending PR or unpublished priority claim.",
+  "credits": "Dugongue PR4929/4933 coded source and gauges; Ali Romman odd-E8 geometry/5439; Cao Yifan native word; Cinna Davis helper/controller/cache; zxv, Jacob Alan Sussman and retained native/Clifford/compiler lineage. Substantial OpenAI Codex assistance; new work Apache-2.0.",
+  "nearest_source_result": "No identical E=K A^-1 plus rank(F_C) full-R modal correction plus source-contact inverse/transpose construction was found in the six named primary documents. Generic code-gauge identities and root-mode factorization are explicitly inherited, not novelty claims. PR5439 explicitly leaves conjugated/joint modules outside its fixed separated model. PR5467 changes scalar quotient realization, serializes a retained source and decodes three helper observations without changing its recursive profile.",
+  "new_component_scope": "Whole-K plus lowrank modal full-R correction; actual owned inverse-source checkpoint and transpose produce both local orientations with same paid profile. Typed N3 negative E terminal and outer admission remain unknown.",
+  "runtime_inputs": {
+    "inputs/B-PROGRAM.json.gz": {
+      "decompressed_canonical_science_sha256": "f6b26f28f2a8f2dcfbf81f98c7ca18f967384b7b61518766494f8e821d5bf56f",
+      "usage": "actual normalized whole-K native backward root512 word, retained source/phase attribution from PR5464"
+    },
+    "inputs/K-TEMPLATE.json": {
+      "sha256": "7477f45dc0036a1e2da980964a2775696c259be56bc0d4e70ba62788dd853cdf",
+      "usage": "whole-K forall2744 cube template and exact U25 orthonormal chart for reproducible all-port physical normalizers"
+    },
+    "inputs/NORMALIZERS.json": {
+      "sha256": "ae8aad06aa5d1811d725895b3ab5a4f4daa9dcdd88294aa0d5f723e78bb1e0da",
+      "usage": "actual E8 roots/ports/modes from canonical coded normalizers"
+    },
+    "inputs/clifford_exact.py": {
+      "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962",
+      "usage": "retained exact Clifford source for two actual cube phase fixture"
+    }
+  }
+}
diff --git a/research/odd-e8-lowrank-e-native/AUTHOR-VERIFY.json b/research/odd-e8-lowrank-e-native/AUTHOR-VERIFY.json
@@ -0,0 +1,15 @@
+{
+  "commands": [
+    "python -I -B run.py",
+    "python -I -O -B run.py"
+  ],
+  "default_readonly": true,
+  "gitfree": true,
+  "networkfree": true,
+  "scope": "Actual root512 native source-contact free-operator inverse/transpose; literal owned16x16 E adapters; literal64x64 typedN3; explicit20480-mode rational global algorithm and ordinary counts; two actual cube native phases. No independent negative E Gaussian target or new kappa.",
+  "unknown": [
+    "Negative E terminal Gaussian admission/decoder",
+    "Complete outer TM, routing, storage and precision admission",
+    "Formal-kernel or independent human acceptance"
+  ]
+}
diff --git a/research/odd-e8-lowrank-e-native/E-ADAPTER.json b/research/odd-e8-lowrank-e-native/E-ADAPTER.json
@@ -0,0 +1,72 @@
+{
+  "address_axes": 2,
+  "cases": [
+    {
+      "Delta_Q_noncommuting": true,
+      "E": "KA",
+      "corrected_forward_backward": true,
+      "forward_backward_adapters": true,
+      "inverse_and_transpose_boundary_checked": false,
+      "lambda": 14,
+      "omitted_correction_rejected": true,
+      "physical_ground_backward_correction": true
+    },
+    {
+      "Delta_Q_noncommuting": true,
+      "E": "K_Ainverse",
+      "corrected_forward_backward": true,
+      "forward_backward_adapters": true,
+      "inverse_and_transpose_boundary_checked": true,
+      "lambda": 14,
+      "omitted_correction_rejected": true,
+      "physical_ground_backward_correction": true
+    },
+    {
+      "Delta_Q_noncommuting": true,
+      "E": "KA",
+      "corrected_forward_backward": true,
+      "forward_backward_adapters": true,
+      "inverse_and_transpose_boundary_checked": false,
+      "lambda": 98,
+      "omitted_correction_rejected": true,
+      "physical_ground_backward_correction": true
+    },
+    {
+      "Delta_Q_noncommuting": true,
+      "E": "K_Ainverse",
+      "corrected_forward_backward": true,
+      "forward_backward_adapters": true,
+      "inverse_and_transpose_boundary_checked": true,
+      "lambda": 98,
+      "omitted_correction_rejected": true,
+      "physical_ground_backward_correction": true
+    },
+    {
+      "Delta_Q_noncommuting": true,
+      "E": "KA",
+      "corrected_forward_backward": true,
+      "forward_backward_adapters": true,
+      "inverse_and_transpose_boundary_checked": false,
+      "lambda": -1078,
+      "omitted_correction_rejected": true,
+      "physical_ground_backward_correction": true
+    },
+    {
+      "Delta_Q_noncommuting": true,
+      "E": "K_Ainverse",
+      "corrected_forward_backward": true,
+      "forward_backward_adapters": true,
+      "inverse_and_transpose_boundary_checked": true,
+      "lambda": -1078,
+      "omitted_correction_rejected": true,
+      "physical_ground_backward_correction": true
+    }
+  ],
+  "complex_rational_main_matrix_dimension": 16,
+  "correction": "Delta=I-X^-1; right-prepend L(Delta Q^-1) or U(-Q Delta) to recover scalar core with codes E/E^-1. For X=A^-1, Delta=F_C exactly, with rank rank(F_C).",
+  "generic_identity": "For X commuting K with E=KX, [E,DQ]=0: postX(E) F_K preY(E)=H(E) diag(D,D) L(X^-1 Q^-1); postX(E^-1) B_K preY(E^-1)=H(E^-1) diag(D,D) U(-Q X^-1).",
+  "owners": 2,
+  "remaining": "Literal all-port owned checkpoint/reverse-transpose emitter and ordinary tariff; actual IDLE/boundary endpoints; full negative terminal E-word decoding; complete precision and moment. The inverse source-Y checkpoint schedule is verified here as exact block algebra, not yet a literal owned program.",
+  "schema": "source-consuming-E-exact-small-model/v1",
+  "status": "PASS_EXACT_LOCAL_IDENTITIES_ONLY"
+}
diff --git a/research/odd-e8-lowrank-e-native/FROZEN.json b/research/odd-e8-lowrank-e-native/FROZEN.json
@@ -0,0 +1,50 @@
+{
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+    "N3-PROGRAM.json": "00470b4fc8804e944e6a6117e70bedff651ae61eb7db46539f156f38f47940c9",
+    "N3.json": "fd6baed6ae2e0ebf00c7ae1c2944587f29e1fb9fc68b66c366b2c901eb43ef55",
+    "NOTICE.txt": "790abb0b415e41c5dcbd1fd1a772b79a35fa2ff78eaf2c9b6005ee8bbe2fa722",
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+    "two_cube_native.py": "010f6a501f4232a3b536085021d58056e5bd11a3e3818c0c02cc0599a88532ae"
+  },
+  "payload_file_count": 40,
+  "registered_commands": 4,
+  "schema": "odd-E8-lowrank-E-publication-freeze/v1",
+  "scope": "Both local E orientations and typedN3. Negative E Gaussian admission, outer machine costs and kappa UNKNOWN. This manifest excludes only itself.",
+  "status": "FROZEN"
+}